Companion to the iron trade etc., a series of comprehensive tables

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Page 233 - 3 0 I 3 6 4 0 4 6 5 0 5 6 6 0 6 6 7 0 7 6 8 0 Bursting pressure — equivalent to the ultimate strength of the riveted joint — -as deduced from experiment« 34,000 Ibs. to the square inch. 450 Ibs. Thickness of the Plates in decimal parts of an inch. •250 •291 •333
Page 175 - rule of last Problem. Find also the area of the triangle formed by the chord of the segment and the two radii of the sector; then add these together for the answer, when the segment is greater than a semicircle ; or subtract them, •when it is less than a semicircle : as is evident. RULE
Page 177 - RULE.—Multiply the perimeter of the base by the slant height, or length of the side, and half the product will be the surface of the sides, or the sum of the areas of all the triangles which form it. To which add the area of the end or base, if required.
Page 187 - apply to this Problem, only changing the divisors, or halving the quotients. PROBLEM IV. To find the dimensions, when a beam is fixed at one end and loaded at the other, or when it is supported at the middle and loaded at both ends.
Page 178 - RULE.—Add into one sum the areas of the two ends, and the mean proportional between them ; and take one-third of that sum for a mean area; which, being multiplied by the perpendicular height or length of the frustum, will give its content.
Page 180 - RULE.—To twice the length of the base add the length of the edge ; multiply the sum by the breadth of the base, and by the perpendicular height from the base, and one-sixth of the product is the solid
Page 177 - RULE.—Multiply the perimeter of one end of the Prism, by the length of the solid, and the product will be the surface of all its sides. To which add also the area of the two ends of the Prism, when required. Or, compute the areas of all the sides and ends separately, and add them all together.
Page 179 - three times the square of the radius of the Segment's base, add the square of its height ; then multiply the sum by the height, and the product by '5236 for the content.
Page 184 - by the square of the depth in inches, and four times the breadth; divide that product by the length in inches, and the quotient will be the weight in Ibs. Example I.—What weight will break a beam of English Oak 7 inches broad, 9 inches deep, and 30 feet between the props ? 1672 x 81 x 28
Page 179 - three times the diameter of the Sphere take double the height of the Segment; then multiply the remainder by the square of the height, and the product by the decimal -5236 for the content. RULE

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